Document Zbl 1291.35382

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Var. Partial Differ. Equ.</a> <a href="/?q=in%3A321546" title="Articles in this Issue">47, No. 3-4, 547-565 (2013)</a>. </div> <div class="abstract">Summary: This paper concerns the set of equilibriums of the nonlocal magnetostatic energy for saturated magnetizations. We study the stability of the equilibrium set under the weak-star convergence using methods of differential inclusion and quasiconvex analysis. The equilibrium set is shown to be unstable under the weak-star convergence and an estimate on its weak-star closure is obtained. This estimate is also shown to be accurate when the physical domain is an ellipsoid.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A6187293">Cited in <strong>4</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A35Q60" title="MSC2020">35Q60</a> </td> <td class="space"> PDEs in connection with optics and electromagnetic theory </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A49J45" title="MSC2020">49J45</a> </td> <td class="space"> Methods involving semicontinuity and convergence; relaxation </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A78A25" title="MSC2020">78A25</a> </td> <td class="space"> Electromagnetic theory (general) </td> </tr></table> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1291.35382" data-ciurl="/ci/06187293" data-biburl="/bibtex/06187293.bib" data-amsurl="/amsrefs/06187293.bib" data-xmlurl="/xml/06187293.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06187293.pdf" title="Zbl 1291.35382 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s00526-012-0527-y" aria-label="DOI for “On the equilibrium set of magnetostatic energy by differential inclusion”" title="10.1007/s00526-012-0527-y">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">Acerbi E., Fusco N.: Semicontinuity problems in the calculus of variations. 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